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(Nearest integer to n^6/36) / 2.
0

%I #14 Mar 27 2024 12:29:16

%S 0,1,10,57,217,648,1634,3641,7381,13889,24605,41472,67039,104577,

%T 158203,233017,335244,472392,653415,888889,1191196,1574721,2056054,

%U 2654208,3390842,4290497,5380840,6692921,8261435,10125000,12326440

%N (Nearest integer to n^6/36) / 2.

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (5,-9,6,0,0,0,-6,9,-5,1).

%F G.f.: -x^2*(x^6+5*x^5+16*x^4+16*x^3+16*x^2+5*x+1)/((x-1)^7*(x+1)*(x^2+x+1)). [_Colin Barker_, Sep 18 2012]

%t Round[Range[40]^6/36]/2 (* or *) LinearRecurrence[{5,-9,6,0,0,0,-6,9,-5,1},{0,1,10,57,217,648,1634,3641,7381,13889},40] (* _Harvey P. Dale_, Jul 07 2013 *)

%K nonn,easy

%O 1,3

%A _N. J. A. Sloane_, May 15 2001